1994/01/28 by V. G. Gurzadyan, Gurzadyan, V. G., A. A. Kocharyan +1
Physics and Astronomy · #Astronomy and Astrophysical Research #Astrophysics (astro-ph) #Cosmology and Gravitation Theories #FOS: Physical sciences #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/9401048
6 pages, plain LaTeX, IC/93/419
openalex publication_date 1994/01/28 · arxiv created 1994/01/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
As was shown before (Gurzadyan and Kocharyan, 1992, 1993ab) the statistical properties (exponential mixing) of motion of CMB photon beams in Friedmann Universe with negative curvature can have definite observable consequences including the decrease of the CMB anisotropy amplitude after the last scattering, distortion of images on CMB sky maps. Here we consider one more consequence concerning the behaviour of temperature autocorrelation function C(θ,β), where θis the modulation (separation) angle, and βthe observing beam effective angle. We prove that in the Universe with negative curvature any spectrum of perturbations at last scattering epoch becomes a scale-invariant by present time. It is also predicted that the temperature autocorrelation function should increase while obtained from measurements with small beam sizes within some mixing beam angle.